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40666446240 = 2535712103109
BaseRepresentation
bin100101110111111010…
…001011100110100000
310212222010002111212120
4211313322023212200
51131241102234430
630403143024240
72636516042520
oct456772134640
9125863074776
1040666446240
111627916aa62
127a6b13b080
133ab1174254
141d7accd680
1510d027c610
hex977e8b9a0

40666446240 has 96 divisors (see below), whose sum is σ = 146399218560. Its totient is φ = 9295186944.

The previous prime is 40666446229. The next prime is 40666446241. The reversal of 40666446240 is 4264466604.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 40666446192 and 40666446201.

It is not an unprimeable number, because it can be changed into a prime (40666446241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6048195 + ... + 6054914.

It is an arithmetic number, because the mean of its divisors is an integer number (1524991860).

Almost surely, 240666446240 is an apocalyptic number.

40666446240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40666446240 is an abundant number, since it is smaller than the sum of its proper divisors (105732772320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40666446240 is a wasteful number, since it uses less digits than its factorization.

40666446240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12103134 (or 12103126 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 42.

The spelling of 40666446240 in words is "forty billion, six hundred sixty-six million, four hundred forty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 12103109 24206218 36309327 48412436 60515545 72618654 84721763 96824872 121031090 145237308 169443526 181546635 193649744 242062180 254165289 290474616 338887052 363093270 387299488 423608815 484124360 508330578 580949232 677774104 726186540 847217630 968248720 1016661156 1161898464 1270826445 1355548208 1452373080 1694435260 1936497440 2033322312 2541652890 2711096416 2904746160 3388870520 4066644624 5083305780 5809492320 6777741040 8133289248 10166611560 13555482080 20333223120 40666446240